1067931889920 has 864 divisors, whose sum is σ = 4391956208640. Its totient is φ = 243387555840.

The previous prime is 1067931889901. The next prime is 1067931889949. The reversal of 1067931889920 is 299881397601.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1067931889920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1243226451 + ... + 1243227309.

Almost surely, 2^{1067931889920} is an apocalyptic number.

1067931889920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067931889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195978104320).

1067931889920 is an abundant number, since it is smaller than the sum of its proper divisors (3324024318720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1067931889920 is an frugal number, since it uses more digits than its factorization.

1067931889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 1067931889920 in words is "one trillion, sixty-seven billion, nine hundred thirty-one million, eight hundred eighty-nine thousand, nine hundred twenty".